198420192 has 288 divisors, whose sum is σ = 660441600. Its totient is φ = 58226688.

The previous prime is 198420179. The next prime is 198420199. The reversal of 198420192 is 291024891.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198420199) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2511609 + ... + 2511687.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^198420192 is an apocalyptic number.

198420192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198420192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

198420192 is an abundant number, since it is smaller than the sum of its proper divisors (462021408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198420192 is a wasteful number, since it uses less digits than its factorization.

198420192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 198420192 is about 14086.1702389258. The cubic root of 198420192 is about 583.2596799161.

The spelling of 198420192 in words is "one hundred ninety-eight million, four hundred twenty thousand, one hundred ninety-two".